12+9?(x-1)(3x+2)=3x^2-x please solve..

12+9x-13x+2=3x2-x   ..(1)9x-13x+2=3x2-x-12Squaring both sides, we get81x-13x+2=3x2-x-122243x2-81x-162=9x4+x2+144-6x3+24x-72x2243x2-81x-162=9x4-6x3-71x2+24x+1449x4-6x3-314x2+105x+306=0By hit and trial method x=6 will satisfy the above equation.(x-6)9x3+48x2-26x-51=0Again By hit and trial method x=-173 will satisfy the 9x3+48x2-26x-51 equation.x-6(3x+17)3x2-x-3=0x-6(3x+17)x-1-376x-1+376=0x-6=0x=6 or, 3x+17=0x=-173or, x-1-376=0x=1-376   Rejected as it not satisfy eq(1)or, x-1+376=0x=1+376    Rejected as it not satisfy eq(1)So, x=6 or x=-173Note:1) 3x2-x-3=0x=-(-1)±-12-4(3)(-3)2(3)    [by quadratic formula]x=1±1+366x=1±376
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